Finite Group Databasebeta

← C2×#13071636 #14913306

Subgroups — C2×#13071636 #14913306

Order 2816.

4782 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×Dic11C211yesmaximal, characteristic, complemented
2C22×D4×Dic11C212yesmaximal, complemented
3C23×C4⋊Dic11C211yesmaximal, characteristic, complemented
4#13071636C2116yesmaximal, direct product factor
5C2×#10622834C211yesmaximal, characteristic, complemented
6C2×#10622598C211yesmaximal, characteristic, complemented
7C2×#10622564C212yesmaximal, complemented
8C2×#10622833C212yesmaximal, complemented
9C2×#10622563C212yesmaximal, complemented
10C2×C4⋊C4×Dic11C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
12C22×C11×#121C211yesmaximal, characteristic
13C23×D4×C11C2212yes—
14C23×D4×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C24×Dic11C2212yes—
17C24×Dic11C2212yes—
18C2×C11×#121C4116yescomplemented
19C2×C11×#121C2218yes—
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C11×C22⋊C4C2212yes—
22C22×C22⋊Dic11C2211yescharacteristic
23C22×C22⋊Dic11C2212yes—
24C22×C22⋊Dic11C2212yes—
25C22×C22⋊Dic11C2212yes—
26C22×C22⋊Dic11C2211yescharacteristic
27C2×D4×Dic11—216no—
28C2×D4×Dic11—28no—
29C2×D4×Dic11C22116yescomplemented
30C2×D4×Dic11C2218yescomplemented
31C22×C4⋊Dic11—28no—
32C22×C4⋊Dic11C2212yes—
33C22×C4⋊Dic11C2211yescharacteristic
34C22×C4⋊Dic11C2212yes—
35C22×C4⋊Dic11C2211yescharacteristic
36C22×C4⋊Dic11C2218yescomplemented
37C22×C4×Dic11C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39C22×C4×Dic11C2212yes—
40#10622834C2218yescomplemented
41#10622833C22116yescomplemented
42C4×C22⋊Dic11C2218yescomplemented
43C2×C11⋊#95C2211yescharacteristic
44C2×C11⋊#95C2211yescharacteristic
45C2×C11⋊#95C2212yes—
46C2×C11⋊#95C2212yes—
47#10622598C2218yescomplemented
48C4⋊C4×Dic11C2218yescomplemented
49#10622564C22116yescomplemented
50#10622563C22116yescomplemented
51C25×C11C2312yes—
52C25×C11C2311yescharacteristic
53C22×D4×C11—28no—
54C22×D4×C11—28no—
55C22×D4×C11—24no—
56C22×D4×C11—24no—
57C22×D4×C11C2×C4116yescomplemented
58C22×D4×C11C2×C418yescomplemented
59C22×D4×C11C2318yes—
60C22×D4×C11C2314yes—
61C23×C4×C11—24no—
62C23×C4×C11—24no—
63C23×C4×C11C2×C418yescomplemented
64C23×C4×C11C2312yes—
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2314yes—
67C23×C4×C11C2311yescharacteristic
68C23×Dic11—28no—
69C23×Dic11—28no—
70C23×Dic11—28no—
71C23×Dic11—28no—
72C23×Dic11—44no—
73C23×Dic11—44no—
74C23×Dic11C2311yescharacteristic
75C23×Dic11C2311yescharacteristic
76C23×Dic11C2312yes—
77C23×Dic11C2318yes—
78C23×Dic11C2318yes—
79C23×Dic11C2311yescharacteristic
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2312yes—
82C11×#121C2×C4164yescomplemented
83C2×C11×C4⋊C4C2×C418yescomplemented
84C2×C11×C4⋊C4C2314yes—
85C2×C11×C22⋊C4C2×C4116yescomplemented
86C2×C11×C22⋊C4C2318yes—
87C2×C22⋊Dic11—24no—
88C2×C22⋊Dic11—28no—
89C2×C22⋊Dic11—28no—
90C2×C22⋊Dic11—44no—
91C2×C22⋊Dic11D418yescomplemented
92C2×C22⋊Dic11C2318yes—
93C2×C22⋊Dic11C2318yes—
94C2×C22⋊Dic11C2314yes—
95C2×C22⋊Dic11C2318yes—
96C2×C22⋊Dic11C2314yes—
97D4×Dic11—264no—
98D4×Dic11—232no—
99C2×C4⋊Dic11—24no—
100C2×C4⋊Dic11—28no—
101C2×C4⋊Dic11—28no—
102C2×C4⋊Dic11—232no—
103C2×C4⋊Dic11D418yescomplemented
104C2×C4⋊Dic11C2318yes—
105C2×C4⋊Dic11C2314yes—
106C2×C4⋊Dic11C2318yes—
107C2×C4⋊Dic11C2314yes—
108C2×C4×Dic11—24no—
109C2×C4×Dic11—24no—
110C2×C4×Dic11—28no—
111C2×C4×Dic11C2318yes—
112C2×C4×Dic11C2314yes—
113C2×C4×Dic11C2314yes—
114C11⋊#95C2314yes—
115C11⋊#95C2318yes—
116C11⋊#95C2314yes—
117C11⋊#95C2318yes—
118C2×#2361—111nomaximal, Sylow
119C24×C11—22no—
120C24×C11—22no—
121C24×C11—22no—
122C24×C11—22no—
123C24×C11—24no—
124C24×C11—24no—
125C24×C11—24no—
126C24×C11—24no—
127C24×C11—24no—
128C24×C11—24no—
129C24×C11C22×C418yes—
130C24×C11C22×C414yes—
131C24×C11C2×D414yes—
132C24×C11#4114yes—
133C24×C11C2414yes—
134C24×C11C2412yes—
135C24×C11C2411yescharacteristic
136C2×D4×C11—264no—
137C2×D4×C11—216no—
138C2×D4×C11—216no—
139C2×D4×C11—232no—
140C2×D4×C11—28no—
141C2×D4×C11—28no—
142C2×D4×C11C22×C4132yescomplemented
143C2×D4×C11C22×C4116yescomplemented
144C22×C4×C11—24no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—24no—
148C22×C4×C11—232no—
149C22×C4×C11—28no—
150C22×C4×C11—28no—
151C22×C4×C11C22×C414yes—
152C22×C4×C11C22×C418yes—
153C22×C4×C11C22×C414yes—
154C22×C4×C11C22×C4116yescomplemented
155C22×C4×C11C2×D414yes—
156C22×C4×C11#4114yes—
157C22×C4×C11C2414yes—
158C22×C4×C11C2412yes—
159C22×C4×C11C2412yes—
160C22×Dic11—216no—
161C22×Dic11—216no—
162C22×Dic11—216no—
163C22×Dic11—24no—
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—24no—
167C22×Dic11—24no—
168C22×Dic11—216no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—24no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11—24no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—48no—
180C22×Dic11—48no—
181C22×Dic11—432no—
182C22×Dic11—432no—
183C22×Dic11C2×D414yes—
184C22×Dic11C2×D414yes—
185C22×Dic11C2×D418yes—
186C22×Dic11C2412yes—
187C22×Dic11C2412yes—
188C22×Dic11C2414yes—
189C22×Dic11C2412yes—
190C22×Dic11C2412yes—
191C22×Dic11C2414yes—
192C11×C4⋊C4C22×C4116yescomplemented
193C11×C22⋊C4C22×C4132yescomplemented
194C22⋊Dic11—216no—
195C22⋊Dic11—216no—
196C22⋊Dic11—28no—
197C22⋊Dic11—48no—
198C22⋊Dic11C2×D4116yescomplemented
199C4⋊Dic11—216no—
200C4⋊Dic11—216no—
201C4⋊Dic11—28no—
202C4⋊Dic11C2×D4116yescomplemented
203C4×Dic11—216no—
204C4×Dic11—28no—
205C4×Dic11—28no—
206C22×#121D1111yescharacteristic
207C22×C4×D4—112no—
208C22×C4×D4—111no—
209C23×C4⋊C4—111no—
210#2361—1116no—
211C2×#390—111no—
212C2×#389—111no—
213C2×#388—112no—
214C2×#386—112no—
215C2×#385—112no—
216C2×C4×C4⋊C4—111no—
217C2×C4×C22⋊C4—111no—
218C23×C11—28no—
219C23×C11—28no—
220C23×C11—28no—
221C23×C11—28no—
222C23×C11—28no—
223C23×C11—28no—
224C23×C11—22no—
225C23×C11—22no—
226C23×C11—22no—
227C23×C11—22no—
228C23×C11—216no—
229C23×C11—216no—
230C23×C11—216no—
231C23×C11—24no—
232C23×C11—24no—
233C23×C11—24no—
234C23×C11—24no—
235C23×C11—24no—
236C23×C11—24no—
237C23×C11—48no—
238C23×C11—48no—
239C23×C11—48no—
240C23×C11—48no—
241C23×C11C4×D4116yescomplemented
242C23×C11C23×C418yes—
243C23×C11C23×C414yes—
244C23×C11C23×C412yes—
245C23×C11C22×D414yes—
246C23×C11C22×D412yes—
247C23×C11C22×D412yes—
248C23×C11C2×#4114yes—
249C23×C11C2×#4112yes—
250C23×C11C2×#4112yes—
251C23×C11H(5,𝔽2)12yes—
252C23×C112−1+412yes—
253C23×C11C2511yescharacteristic
254D4×C11—264no—
255D4×C11—232no—
256C2×C4×C11—28no—
257C2×C4×C11—216no—
258C2×C4×C11—24no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—24no—
262C2×C4×C11—232no—
263C2×C4×C11C4×D4116yescomplemented
264C2×C4×C11C23×C414yes—
265C2×C4×C11C23×C418yes—
266C2×C4×C11C23×C414yes—
267C2×C4×C11C22×D414yes—
268C2×C4×C11C2×#4114yes—
269C2×Dic11—216no—
270C2×Dic11—28no—
271C2×Dic11—28no—
272C2×Dic11—24no—
273C2×Dic11—22no—
274C2×Dic11—22no—
275C2×Dic11—22no—
276C2×Dic11—24no—
277C2×Dic11—22no—
278C2×Dic11—22no—
279C2×Dic11—24no—
280C2×Dic11—24no—
281C2×Dic11—22no—
282C2×Dic11—22no—
283C2×Dic11—22no—
284C2×Dic11—22no—
285C2×Dic11—24no—
286C2×Dic11—22no—
287C2×Dic11—432no—
288C2×Dic11—432no—
289C2×Dic11—48no—
290C2×Dic11—44no—
291C2×Dic11—44no—
292C2×Dic11C22×D414yes—
293C2×Dic11C22×D414yes—
294C2×Dic11C22×D418yes—
295C23×D4C2×D1112yes—
296C23×D4C2×D1111yescharacteristic
297C24×C4—112no—
298C24×C4—112no—
299C24×C4C2×D1111yescharacteristic
300C2×#121Dic11116yescomplemented
301C2×#121C2×D1118yes—
302C2×C4×D4—118no—
303C2×C4×D4—1116no—
304C2×C4×D4—2216no—
305C2×C4×D4—228no—
306C22×C4⋊C4—111no—
307C22×C4⋊C4—118no—
308C22×C4⋊C4—112no—
309C22×C4⋊C4—111no—
310C22×C4⋊C4—112no—
311C22×C4⋊C4—228no—
312C22×C4⋊C4C2×D1111yescharacteristic
313C22×C22⋊C4—111no—
314C22×C22⋊C4—112no—
315C22×C22⋊C4—112no—
316C22×C22⋊C4—111no—
317C22×C22⋊C4—112no—
318C22×C22⋊C4C2×D1112yes—
319C22×C42—111no—
320C22×C42—112no—
321C22×C42—111no—
322#390—118no—
323#389—118no—
324#388—1116no—
325#386—1116no—
326#385—1116no—
327C4×C4⋊C4—118no—
328C4×C22⋊C4—118no—
329C2×#95—111no—
330C2×#95—111no—
331C2×#95—112no—
332C2×#95—112no—
333C22×C11—232no—
334C22×C11—24no—
335C22×C11—24no—
336C22×C11—24no—
337C22×C11—24no—
338C22×C11—24no—
339C22×C11—24no—
340C22×C11—28no—
341C22×C11—28no—
342C22×C11—28no—
343C22×C11—432no—
344C22×C11—44no—
345C22×C11—44no—
346C22×C11—44no—
347C22×C11—44no—
348C22×C11C2×C4×D414yes—
349C22×C11C2×C4×D414yes—
350C22×C11C2×C4×D418yescomplemented
351C22×C11#52014yes—
352C22×C11D4214yes—
353C22×C11#54714yes—
354C22×C11#54814yes—
355C22×C11#55314yes—
356C22×C11C24×C411yescharacteristic
357C22×C11C23×D411yescharacteristic
358C22×C11C23×D411yescharacteristic
359C22×C11C22×#4111yescharacteristic
360C22×C11C22×#4111yescharacteristic
361C22×C11C2×H(5,𝔽2)11yescharacteristic
362C22×C11C2×2−1+411yescharacteristic
363C4×C11—24no—
364C4×C11—28no—
365C4×C11C2×C4×D418yescomplemented
366Dic11—24no—
367Dic11—28no—
368Dic11—24no—
369Dic11—44no—
370Dic11—42no—
371Dic11—42no—
372C25C22×D1112yes—
373C25C22×D1111yescharacteristic
374C22×D4—28no—
375C22×D4—28no—
376C22×D4—24no—
377C22×D4—24no—
378C22×D4C2×Dic11116yescomplemented
379C22×D4C2×Dic1118yescomplemented
380C22×D4C22×D1118yes—
381C22×D4C22×D1114yes—
382C23×C4—24no—
383C23×C4—24no—
384C23×C4—111no—
385C23×C4—111no—
386C23×C4—112no—
387C23×C4—111no—
388C23×C4—111no—
389C23×C4—112no—
390C23×C4—118no—
391C23×C4—118no—
392C23×C4—228no—
393C23×C4—228no—
394C23×C4—228no—
395C23×C4—228no—
396C23×C4—444no—
397C23×C4—444no—
398C23×C4C2×Dic1118yescomplemented
399C23×C4C22×D1111yescharacteristic
400C23×C4C22×D1112yes—
401C23×C4C22×D1114yes—
402C23×C4C22×D1111yescharacteristic
403#121C2×Dic11164yescomplemented
404C4×D4—2264no—
405C4×D4—2232no—
406C2×C4⋊C4—118no—
407C2×C4⋊C4—114no—
408C2×C4⋊C4—118no—
409C2×C4⋊C4—114no—
410C2×C4⋊C4—118no—
411C2×C4⋊C4—2232no—
412C2×C4⋊C4—228no—
413C2×C4⋊C4—228no—
414C2×C4⋊C4—224no—
415C2×C4⋊C4C2×Dic1118yescomplemented
416C2×C4⋊C4C22×D1114yes—
417C2×C22⋊C4—118no—
418C2×C22⋊C4—114no—
419C2×C22⋊C4—118no—
420C2×C22⋊C4—118no—
421C2×C22⋊C4—114no—
422C2×C22⋊C4—118no—
423C2×C22⋊C4—228no—
424C2×C22⋊C4—228no—
425C2×C22⋊C4—224no—
426C2×C22⋊C4—444no—
427C2×C22⋊C4C2×Dic11116yescomplemented
428C2×C22⋊C4C22×D1118yes—
429C2×C42—114no—
430C2×C42—118no—
431C2×C42—114no—
432C2×C42—228no—
433C2×C42—224no—
434C2×C42—224no—
435#95—114no—
436#95—114no—
437#95—118no—
438#95—118no—
439C2×C11—28no—
440C2×C11—48no—
441C2×C11#236118yescomplemented
442C2×C11C22×C4×D411yescharacteristic
443C2×C11C22×C4×D411yescharacteristic
444C2×C11C2×#52011yescharacteristic
445C2×C11C2×D4211yescharacteristic
446C2×C11C2×#54711yescharacteristic
447C2×C11C2×#54811yescharacteristic
448C2×C11C2×#55311yescharacteristic
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—24no—
454C24—24no—
455C24—24no—
456C24—24no—
457C24—24no—
458C24—24no—
459C24D4×D1114yes—
460C24#434114yes—
461C24C22×Dic1118yes—
462C24C22×Dic1114yes—
463C24C23×D1114yes—
464C24C23×D1112yes—
465C24C23×D1111yescharacteristic
466C2×D4—264no—
467C2×D4—216no—
468C2×D4—216no—
469C2×D4—232no—
470C2×D4—28no—
471C2×D4—28no—
472C2×D4C22×Dic11132yescomplemented
473C2×D4C22×Dic11116yescomplemented
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—232no—
479C22×C4—28no—
480C22×C4—28no—
481C22×C4—114no—
482C22×C4—114no—
483C22×C4—118no—
484C22×C4—112no—
485C22×C4—112no—
486C22×C4—114no—
487C22×C4—112no—
488C22×C4—112no—
489C22×C4—114no—
490C22×C4—2216no—
491C22×C4—2216no—
492C22×C4—2216no—
493C22×C4—222no—
494C22×C4—224no—
495C22×C4—222no—
496C22×C4—222no—
497C22×C4—224no—
498C22×C4—222no—
499C22×C4—222no—
500C22×C4—224no—
501C22×C4—224no—
502C22×C4—2216no—
503C22×C4—222no—
504C22×C4—222no—
505C22×C4—222no—
506C22×C4—222no—
507C22×C4—224no—
508C22×C4—222no—
509C22×C4—448no—
510C22×C4—448no—
511C22×C4—4432no—
512C22×C4—4432no—
513C22×C4D4×D1114yes—
514C22×C4#434114yes—
515C22×C4C22×Dic1114yes—
516C22×C4C22×Dic1118yes—
517C22×C4C22×Dic1114yes—
518C22×C4C22×Dic11116yescomplemented
519C22×C4C23×D1114yes—
520C22×C4C23×D1112yes—
521C22×C4C23×D1112yes—
522C4⋊C4—1116no—
523C4⋊C4—2216no—
524C4⋊C4—2216no—
525C4⋊C4—228no—
526C4⋊C4C22×Dic11116yescomplemented
527C22⋊C4—1116no—
528C22⋊C4—2216no—
529C22⋊C4—2216no—
530C22⋊C4—228no—
531C22⋊C4—448no—
532C22⋊C4C22×Dic11132yescomplemented
533C42—2216no—
534C42—228no—
535C42—228no—
536C11C2×#236111yescharacteristic, complemented, Sylow
537C23—28no—
538C23—28no—
539C23—28no—
540C23—28no—
541C23—28no—
542C23—28no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—216no—
548C23—216no—
549C23—216no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—48no—
557C23—48no—
558C23—48no—
559C23—48no—
560C23D4×Dic11116yescomplemented
561C23C2×D4×D1114yes—
562C23C2×D4×D1112yes—
563C23C2×D4×D1112yes—
564C23C2×#434114yes—
565C23C2×#434112yes—
566C23C2×#434112yes—
567C23#6704212yes—
568C23#6704312yes—
569C23C23×Dic1118yes—
570C23C23×Dic1114yes—
571C23C23×Dic1112yes—
572C23C24×D1111yescharacteristic
573D4—264no—
574D4—232no—
575C2×C4—28no—
576C2×C4—216no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—232no—
582C2×C4—114no—
583C2×C4—114no—
584C2×C4—118no—
585C2×C4—228no—
586C2×C4—2216no—
587C2×C4—228no—
588C2×C4—224no—
589C2×C4—222no—
590C2×C4—222no—
591C2×C4—222no—
592C2×C4—224no—
593C2×C4—222no—
594C2×C4—222no—
595C2×C4—224no—
596C2×C4—224no—
597C2×C4—222no—
598C2×C4—222no—
599C2×C4—222no—
600C2×C4—222no—
601C2×C4—224no—
602C2×C4—222no—
603C2×C4—4432no—
604C2×C4—4432no—
605C2×C4—444no—
606C2×C4—448no—
607C2×C4—444no—
608C2×C4D4×Dic11116yescomplemented
609C2×C4C2×D4×D1114yes—
610C2×C4C2×#434114yes—
611C2×C4C23×Dic1114yes—
612C2×C4C23×Dic1118yes—
613C2×C4C23×Dic1114yes—
614C22—232no—
615C22—24no—
616C22—24no—
617C22—24no—
618C22—24no—
619C22—24no—
620C22—24no—
621C22—28no—
622C22—28no—
623C22—28no—
624C22—432no—
625C22—44no—
626C22—44no—
627C22—44no—
628C22—44no—
629C22#1062312914yes—
630C22#1062314014yes—
631C22#1062314214yes—
632C22#1062314914yes—
633C22C2×D4×Dic1114yes—
634C22C2×D4×Dic1114yes—
635C22C2×D4×Dic1118yescomplemented
636C22#1062335814yes—
637C22C22×D4×D1111yescharacteristic
638C22C22×D4×D1111yescharacteristic
639C22C22×#434111yescharacteristic
640C22C22×#434111yescharacteristic
641C22C2×#6704211yescharacteristic
642C22C2×#6704311yescharacteristic
643C22C24×Dic1111yescharacteristic
644C4—24no—
645C4—28no—
646C4—224no—
647C4—228no—
648C4—224no—
649C4—442no—
650C4—444no—
651C4—442no—
652C4C2×D4×Dic1118yescomplemented
653C2—28no—
654C2—48no—
655C2#1307163618yesdirect product factor
656C2C22×D4×Dic1111yescharacteristic
657C2C22×D4×Dic1111yescharacteristic
658C2C2×#1062335811yescharacteristic
659C2C2×#1062314011yescharacteristic
660C2C2×#1062314211yescharacteristic
661C2C2×#1062312911yescharacteristic
662C2C2×#1062314911yescharacteristic
subgroupG/H
centerC24C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
Fitting, prime radicalC22×C11×#121C2
socleC24×C11C24
cosocleC23×C11C25
hypercenterC22×#121D11
hypocenterC11C2×#2361
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#121

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C22×D4×Dic11C2semidirect
2. C22×D4×Dic11C2semidirect
3. C23×C4⋊Dic11C2semidirect
4. #13071636C2direct (N × H)
5. C2×#10622834C2semidirect
6. C2×#10622598C2semidirect
7. C2×#10622564C2semidirect
8. C2×#10622833C2semidirect
9. C2×#10622563C2semidirect
10. C2×C4⋊C4×Dic11C2semidirect
11. C2×C4×C22⋊Dic11C2semidirect
18. C2×C11×#121C4semidirect
29. C2×D4×Dic11C22semidirect
30. C2×D4×Dic11C22semidirect
36. C22×C4⋊Dic11C22semidirect
40. #10622834C22semidirect
41. #10622833C22semidirect
42. C4×C22⋊Dic11C22semidirect
47. #10622598C22semidirect
48. C4⋊C4×Dic11C22semidirect
49. #10622564C22semidirect
50. #10622563C22semidirect
57. C22×D4×C11C2×C4semidirect
58. C22×D4×C11C2×C4semidirect
63. C23×C4×C11C2×C4semidirect
82. C11×#121C2×C4semidirect
83. C2×C11×C4⋊C4C2×C4semidirect
85. C2×C11×C22⋊C4C2×C4semidirect
91. C2×C22⋊Dic11D4semidirect
103. C2×C4⋊Dic11D4semidirect
142. C2×D4×C11C22×C4semidirect
143. C2×D4×C11C22×C4semidirect
154. C22×C4×C11C22×C4semidirect
192. C11×C4⋊C4C22×C4semidirect
193. C11×C22⋊C4C22×C4semidirect
198. C22⋊Dic11C2×D4semidirect
202. C4⋊Dic11C2×D4semidirect
241. C23×C11C4×D4semidirect
263. C2×C4×C11C4×D4semidirect
300. C2×#121Dic11semidirect
350. C22×C11C2×C4×D4semidirect
365. C4×C11C2×C4×D4semidirect
378. C22×D4C2×Dic11semidirect
379. C22×D4C2×Dic11semidirect
398. C23×C4C2×Dic11semidirect
403. #121C2×Dic11semidirect
415. C2×C4⋊C4C2×Dic11semidirect
427. C2×C22⋊C4C2×Dic11semidirect
441. C2×C11#2361semidirect
472. C2×D4C22×Dic11semidirect
473. C2×D4C22×Dic11semidirect
518. C22×C4C22×Dic11semidirect
526. C4⋊C4C22×Dic11semidirect
532. C22⋊C4C22×Dic11semidirect
536. C11C2×#2361semidirect
560. C23D4×Dic11semidirect
608. C2×C4D4×Dic11semidirect
635. C22C2×D4×Dic11semidirect
652. C4C2×D4×Dic11semidirect
655. C2#13071636direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×D4×Dic112
C23×C4⋊Dic112
#130716362
C2×#106228342
C2×#106225982
C2×#106225642
C2×#106228332
C2×#106225632
C2×C4⋊C4×Dic112
C2×C4×C22⋊Dic112
C22×C11×#1212
C2×#236111